The accurate statements are:
b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
The given parameters are:
[tex]n = 12[/tex] --- number of parts
[tex]r = 10[/tex] --- the radius
(a) The central angle
Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.
So, the measure of the two sections is:
[tex]\theta = 30^o \times 2[/tex]
[tex]\theta = 60^o[/tex]
Hence, (a) is false
(b) The circumference
This is calculated using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 \times 3.14\times 10[/tex]
[tex]C = 62.8[/tex]
Hence, (b) is true
(c) The measure of the minor arc
Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.
So, the measure of the four sections is:
[tex]\theta = 30^o \times 4[/tex]
[tex]\theta = 120^o[/tex]
Hence, (c) is true
(d) The length of the major arc
Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.
So, the measure of the seven sections is:
[tex]\theta = 30^o \times 7[/tex]
[tex]\theta = 210^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{13188}{360}[/tex]
[tex]L = 36.3[/tex]
Hence, (d) is false
(e) The length of the minor arc
There is only one section between points 6 and 7
So, the measure of the section is:
[tex]\theta = 30^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{1884}{360}[/tex]
[tex]L = 5.2[/tex]
Hence, (e) is true
Read more about segments and arcs at:
https://brainly.com/question/14965059
Answer:
-B
-C
-E
Step-by-step explanation:
just took the test...
I got them right
y^2 - 19 = 0 find the sum and product
Answer: Sum of the roots: √19 - √19 = 0
Product of roots: (√19)(-√19) = -19
Step-by-step explanation:
y2 - 19 = 0
add 19 to both sides
y2 = 19
take square root of both sides
y = ±√19
So y = √19 or y = -√19
how to dilate with a scale factor of 1/3 with orgin point on graph
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
Help me, I'm really tired atm
Step-by-step explanation:
6/15 = 12/30 = 24/60 = 48/75
Answer:
Step-by-step explanation:
.pleeassssseeeeee guuyyss
Answer:
Answer: 4
Step-by-step explanation:
This is a true or false question. (Question in the photo)
Answer:
Step-by-step explanation: The answer is False.
Answer:
True my mom helped
Step-by-step explanation:
that's all I know
5/7(x-9)=25
what does x equal?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
Please someone help solve:
2/2t√3≡4-2√3
Answer:
i'm assuming you want to solve for t?
t=(2√3+3)/6
Which ordered pair is a solution of the equation?
y + x = 3(x – 4)
Kiara bought fabric to make a dress and a sewing machine. The total cost of her purchase, $80.50, included both the cost of her sewing machine
Write an equation to determine the cost of fabric per foot
find the cost of fabric per foot
Which substances will make a salt when combined?
Question 6 options:
Vinegar and soda
Soda and wine
Detergent and ammonia
Fertilizer and vinegar
A.Vinegar and soda
-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.
-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,
40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45
Answer:
9 kg of tomatoes
Step-by-step explanation:
Cost of 40 kg of tomatoes = $200
Cost of 1 kg of tomatoes = 200/40 = $5
For $45, we get x kg of tomatoes,
kg $
1 5
x 45
=> 45*1/5 = x kg (by cross multiplication)
=> 45/5 = x kg
We get 9 kg of tomatoes for $45.
Hope you understood!
Answer:
(9 Kg) You can get 9 kilograms of tomato's with 45$
Step-by-step explanation:
I have a system of equations I don’t remember how to do :|
I forgot how to solve this, and I forgot how to find the slope…
Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
_____
Additional comments
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
There are infinite numbers of solution.
Step-by-step explanation:
Question :[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]
Solution :Solving the question and finding the final answer.
Here,
x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━Now, from equation (i),
[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]
[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]
━━━━━━━━━Now, putting the value of x in equation (ii)
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]
This statement is true for all values of x and y.
So, there are infinite numbers of solution.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Solve the system of linear equations by substitution
6x-9=y
y=-3x
Answer:
x=1, y=-3. (1, -3).
Step-by-step explanation:
6x-9=y
y=-3x
-----------
6x-9=-3x
6x-(-3x)=9
6x+3x=9
9x=9
x=9/9
x=1
y=-3(1)
y=-3
Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20
a.2x + 4y = 14
−16x − 4y = −80
b.2x + 4y = 14
−4x + y = −20
c.4x + 8y = −28
4x + y = 20
d.−2x − 4y = 14
4x + y = 20
Answer:
a.
Step-by-step explanation:
4x+y=20 multiplied by (-4) gives you -16x-4y=-80
On the highway, a car can travel 21 miles per gallon of gas. If the car travels for 4 hours on the highway at a rate of 65 miles per hour, how many gallons of gas should the car use, to the nearest tenth of a gallon?
Answer:
5.36
Step-by-step explanation:
If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.
As a result, the distance traveled by car,
Distance = speed × time
Distance = 65 miles / hr × 4 hr
Distance = 260 miles
The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:
= 260 miles / 21 miles per gallon
= 12.38 gallon
The value nearest tenth of a gallon is,
=12.4 gallons
Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
the least number by which 7203 must be divided to make the result a perfect square is____
Answer:
Step-by-step explanation:
we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49
[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]
Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.____________________________________________
Please help me with thiss
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2
name the relationship of these angles
Answer this QUICK!!! 60 POINTS!!!!
Answer:
Step-by-step explanation:
top right
Answer:
Its C (upper right)
Step-by-step explanation:
There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these
Which values for A and B will create infiniely many solutions for this system of equations
Answer :
4x-ay=15
Step-by-step explanation:
A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?
If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.
Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3
Answer:im pretty sure its d
Step-by-step explanation:
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7
Answer:
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
Step-by-step explanation:
Simplifying
7x + 3 = 52
Reorder the terms:
3 + 7x = 52
Solving
3 + 7x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 7x = 52 + -3
Combine like terms: 3 + -3 = 0
0 + 7x = 52 + -3
7x = 52 + -3
Combine like terms: 52 + -3 = 49
7x = 49
Divide each side by '7'.
x = 7
Simplifying
x = 7
PLS ANSWER AS SOON AS POSSIBLE AND I WILL MARK U AS BRAINLIST
Answer:
3
Step-by-step explanation:
Substitute the possible answers.
help this is due today?
Answer:
2s for the first box
6u for the second box
Step-by-step explanation:
when they say like terms, just think about how the letter parts of the expression are the same
like 1/2s and 2s both have the singular variable s
and how 6u and 9u both have the singular variable u
To solve this one you have to find the ones that are connected by variables or look the same
For example.
1x and 2x are like terms because they have the same variable X
4d and 6/2d are like terms because they have the same variable D
4 and 3 are like terms because they have no variables, and they are the same
So now that you understand what like terms are you may so it
1/2 and 2s are like terms because they share the same variable S
6u and 9u are like terms because they share the same variable U
I hope this helped and if it's wrong blame me
Ps. Brainlist would really help
A,D And E Thats The Answers
Answer:
wait what? hmmm hmmmmmm
Does anyone know this?
Blank #1____
Blank #2____
Blank #3____
Blank #4____
Answer:
12x2x8xStep-by-step explanation:
Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.
(Blank 1) × 1 = 1 ⇒ (Blank 1) = 1
(Blank 2) × 8x = 16x² ⇒ (Blank 2) = 16x²/(8x) = 2x
(Blank 3) = (Blank 1) × (Blank 2) ⇒ (Blank 3) = 1 × 2x = 2x
(Blank 4) = 8x × 1 = 8x
Answer:
1. 1
2. 2x
3. 2x
4. 8x
Step-by-step explanation:
I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please
Answer:
The solution is given in the photo